On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p

S. Astashkin, F. Sukochev, D. Zanin

Let 1\leq p<2 and let L_p=L_p[0,1] be the classical L_p-space of all (classes of) p-integrable functions on [0,1]. It is known that a sequence of independent copies of a mean zero…